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Finding the Fourth Proportional to 379,602.19, 523,830.46 and 209,825.38

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Solution

The fourth proportional to 379,602.19, 523,830.46 and 209,825.38 is: 289,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,602.19 : 523,830.46 = 209,825.38 : x
  2. Step 2: Convert to fraction form
    379,602.19/523,830.46 = 209,825.38/x
  3. Step 3: Cross multiply
    379,602.19x = 523,830.46 × 209,825.38
  4. Step 4: Simplify right side
    379,602.19x = 109,912,921,656.80
  5. Step 5: Solve for x
    x = 109,912,921,656.80/379,602.19
  6. Step 6: Final answer
    x = 289,547.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.